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Finding the Third Proportional to 466,744 and 953,196

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Solution

The third proportional to 466,744 and 953,196 is: 1,946,640.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,744 : 953,196 = 953,196 : x
  2. Step 2: Convert to fraction form
    466,744/953,196 = 953,196/x
  3. Step 3: Cross multiply
    466,744x = 953,196 × 953,196
  4. Step 4: Simplify right side
    466,744x = 908,582,614,416
  5. Step 5: Solve for x
    x = 908,582,614,416/466,744
  6. Step 6: Final answer
    x = 1,946,640.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.